Relations between the energy of graphs and other graph parameters

Author:

Filipovski Slobodan,

Abstract

In this paper we give various relations between the energy of graphs and other graph parameters as Randić index, clique number, number of vertices and edges, maximum and minimum degree etc. Moreover, new bounds for the energy of complementary graphs are derived. Our results are based on the concept of vertex energy developed by G. Arizmendi and O. Arizmendi in [Lin. Algebra Appl. doi:10.1016/j.laa.2020.09.025].

Publisher

University Library in Kragujevac

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications,General Chemistry

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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2. Some energy of a line graph of prime graph;AIP Conference Proceedings;2024

3. Extension of adjacency matrix in QSPR analysis;Chemometrics and Intelligent Laboratory Systems;2023-12

4. Relations Between the Energy and Topological Indices of a Graph;Mediterranean Journal of Mathematics;2023-07-10

5. Some Lower Bounds for the Energy of Graphs in Terms of Spread of Matrix;Mediterranean Journal of Mathematics;2022-12-02

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